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arXiv · hep-th/0301055

On Higher Dimensional Fuzzy Spherical Branes

Yusuke Kimura
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Abstract

Matrix descriptions of higher dimensional spherical branes are investigated. It is known that a fuzzy 2k-sphere is described by the coset space SO(2k+1)/U(k) and has some extra dimensions. It is shown that a fuzzy 2k-sphere is comprised of n^{\frac{k(k-1)}{2}} spherical D(2k-1)-branes and has a fuzzy 2(k-1)-sphere at each point. We can understand the relationship between these two viewpoints by the dielectric effect. Contraction of the algebra is also discussed.

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Yusuke Kimura. 2003-06-17. On Higher Dimensional Fuzzy Spherical Branes. https://doi.org/10.1016/s0550-3213(03)00462-0

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